Two charges 6 micro coulomb and 15 micro coulomb are placed along the x- axis at x = 0 and - Physics - Electric Charges And Fields

Question

Two charges 6 micro coulomb and 15 micro coulomb are placed along
the x- axis at x = 0 and x = 2mrespectively A negative charge is
placed between them such that the resultant force on it is zero The
negative charge is placed at

Vara · Accepted Answer

Electric field due to point charge:E=14πε0qr2Condition for zero force:14πε0q1x2=14πε0q22-x2q1x2=q22-x22-xx2=q2q12-xx=1562-xx=1
582-x=1 58xx=22 58  =0
78 m (from 6 micro coulomb)

Two charges 6 micro coulomb and 15 micro coulomb are placed along the x- axis at x = 0 and x = 2mrespectively. A negative charge is placed between them such that the resultant force on it is zero. The negative charge is placed at